Queueing analysis of polling models: progress in 1990-1994
Frontiers in queueing
The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
Transient analysis of tree-Like processes and its application to random access systems
SIGMETRICS '06/Performance '06 Proceedings of the joint international conference on Measurement and modeling of computer systems
Multi-class Markovian arrival processes and their parameter fitting
Performance Evaluation
A queueing model for multi-product production system under varying manufacturing environment
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
Operations Research Letters
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This paper studies two queueing systems with a Markov arrival process with marked arrivals and PH-distribution service times for each type of customer. Customers (regardless of their types) are served on a last-come-first-served preemptive resume and repeat basis, respectively. The focus is on the stationary distribution of queue strings in the system and busy periods. Efficient algorithms are developed for computing the stationary distribution of queue strings, the mean numbers of customers served in a busy period, and the mean length of a busy period. Comparison is conducted numerically between performance measures of queueing systems with preemptive resume and preemptive repeat service disciplines. A counter-intuitive observation is that for a class of service time distributions, the repeat discipline performs better than the resume one.